4978695227400 has 576 divisors, whose sum is σ = 17242876095120. Its totient is φ = 1286833766400.

The previous prime is 4978695227371. The next prime is 4978695227411. The reversal of 4978695227400 is 47225968794.

4978695227400 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 69 + 522 + 7 + 40 + 0 = 666.

It is a Cunningham number, because it is equal to 2231299²-1.

It can be written as a sum of positive squares in 24 ways, for example, as 2677994785764 + 2300700441636 = 1636458^2 + 1516806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4538463652 + ... + 4538464748.

Almost surely, 2^{4978695227400} is an apocalyptic number.

4978695227400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978695227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621438047560).

4978695227400 is an abundant number, since it is smaller than the sum of its proper divisors (12264180867720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4978695227400 is a wasteful number, since it uses less digits than its factorization.

4978695227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4978695227400 in words is "four trillion, nine hundred seventy-eight billion, six hundred ninety-five million, two hundred twenty-seven thousand, four hundred".